Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find out the area under the parametric curve given by the following parametric equations.
x = 6 (θ - sin θ)
y = 6 (1 - cos θ)
0 ≤ θ ≤ 2Π
Solution
Firstly, notice that we've switched the parameter to θ for this problem. This is to ensure that we don't get too locked into all time having t like the parameter.
Here now, we could graph this to confirm that the curve is traced out exactly just once for the given range if we wanted to. We are going to be making out at this curve in more detail after this instance so we won't draw its graph here.
Actually there isn't very much to this instance other than plugging the parametric equations into the formula. We'll first require the derivative of the parametric equation for x though.
dx / dΠ = 6 (1 - cosΠ)
after that the area is,
A = ∫2Π0 36 (1-cos θ)2 dθ
= 36 ∫2Π0 1- 2 cos2 θ dθ
= 36 ∫2Π0 3/2 - 2 cosθ + ½ cos (2θ) dθ
= 36 (3/2 θ-2sin θ + ¼ sin (2θ)) |2Π0
= 108 Π
SOLVE AND GRAPH THE PARABOLA NOTE: WRITE YOUR SOLUTIONS AND COMPLETE EQUATION OF GRAPH SPOINTS EACH 1. V(0,0) (0.2) P-2 2. V(0,0) E-5,0) P=-5 3. V(4-3) F(4,-2) P=1 4. V-1,5)
Explain Analytical Models in Operations Research with Application
1 1 1 1 1 2 1 2 ? and 40/2=? 2/40=?
This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its sol
A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the subsequent represents the cost y of a phone call
a manufacturer is interested in developing a benefit segmentation of the cameramarket.suggest some major benefit segments with market targeting strategies.
Can we solve the Quadratic Equations by completing the square method? if yes explain it.
Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp
Evaluate the volume of a ball whose radius is 4 inches? Round to the nearest inch. (π = 3.14) a. 201 in 3 b. 268 in 3 c. 804 in 3 d. 33 in 3 b. The volume of a
Calculate the volume and surface area of a sphere: Calculate the volume and surface area of a sphere with r = 4". Be sure to include units in your answer. Solution: V
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd